| 董方方,刘钊,赵晓敏,韩江,黄晓勇.基于Whiffletree策略与耦合振动模型的随动支撑头点位布局优化[J].计算力学学报,2025,42(3):362~368 |
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| 基于Whiffletree策略与耦合振动模型的随动支撑头点位布局优化 |
| Optimization of following-up support head positioning based on whiffletree strategy and coupled vibration model |
| 投稿时间：2023-10-08 修订日期：2024-02-05 |
| DOI：10.7511/jslx20231008003 |
| 中文关键词: 随动支撑 布局优化 粒子群 Whiffletree策略 耦合振动 |
| 英文关键词:following-up support layout optimization particle swarm whiffletree strategy coupled vibration |
| 基金项目:国家自然科学基金(52275284;5247120260);中央高校基本科研业务费(JZ2024HGTG0298/PA2024GDSK0043)资助项目. |
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| 中文摘要: |
| 在薄壁件的随动支撑加工中,支撑头的点位布局会对抑振效果产生显著影响。本文基于Whiffletree布局策略以及刀具-工件-支撑耦合振动模型,建立了以支撑点数和支撑半径作为决策变量的布局优化模型,其中优化指标为振动的幅值与均方根,并通过结构的干涉与边界条件确立变量范围。进一步地,为处理该优化模型中的偏微分方程约束、不等式约束以及混合整数等问题,制定了以粒子群算法为主导,辅以参数扫描与惩罚函数的复合寻解策略。最后,通过仿真验证了该寻解策略高效可行,同时得到了给定案例下的最优布局参数。该优化模型和寻解策略可给其他具有相似性的物理系统布局优化问题提供一定的借鉴。 |
| 英文摘要: |
| In the following-up support machining of thin-walled parts,the positioning layout of the support head has a significant impact on the vibration damping effect.Based on the whiffletree layout strategy and the coupled tool-workpiece-support vibration model,this paper establishes a layout optimization model with the number of support points and the support radius as decision variables.The optimization indicators are the amplitude and root mean square of vibration magnitudes,and the variable range is established through structural interference and boundary conditions.Furthermore,to address in differential equations constraints,inequality constraints,and mixed-integer problems in this optimization model,a composite search strategy is formulated,primarily using the particle swarm algorithm supplemented by parameter scanning and penalty functions.Finally,the efficiency and feasibility of this search strategy are verified through simulations,and the optimal layout parameters for the given case are obtained.This optimization model and search strategy can provide insights for similar layout optimization problems in other physical systems. |
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